{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ***Introduction to Radar Using Python and MATLAB***\n",
    "## Andy Harrison - Copyright (C) 2019 Artech House\n",
    "<br/>\n",
    "\n",
    "# Low Pass Filters\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Referring to Section 5.6, filtering may be performed at various locations along the receiver chain.  The filter responses are quite different.  The type of filter chosen depends greatly on the application.  For example, Butterworth filters have quite flat responses in the passband.  This type of filter should be used for cases where minimal distortion of the signal is required, such as filtering a signal prior to analog-to-digital conversion. Chebyshev filters, on the other hand, should be chosen when the frequency content of the signal is more important than passband flatness.  An example of this would be trying to separate signals closely spaced in frequency. Elliptic filters are more difficult to design but do have the advantage of providing the fastest roll-off for a given number of poles.\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the filter order, critical frequency (Hz), maximum ripple (dB) and minimum attenuation (dB)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "filter_order = 4\n",
    "\n",
    "critical_frequency = 100\n",
    "\n",
    "maximum_ripple = 1\n",
    "\n",
    "minimum_attenuation = 40"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Perform low pass filtering for Butterworth, Chebyshev, Bessel and Elliptic type filters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.signal import butter, cheby1, bessel, ellip, freqs\n",
    "\n",
    "b, a = butter(filter_order, critical_frequency, 'low', analog=True)\n",
    "\n",
    "w_butter, h_butter = freqs(b, a)\n",
    "\n",
    "\n",
    "b, a = cheby1(filter_order, maximum_ripple, critical_frequency, 'low', analog=True)\n",
    "\n",
    "w_cheby, h_cheby = freqs(b, a)\n",
    "\n",
    "\n",
    "b, a = bessel(filter_order, critical_frequency, 'low', analog=True, norm='phase')\n",
    "\n",
    "w_bessel, h_bessel = freqs(b, a)\n",
    "\n",
    "\n",
    "b, a = ellip(filter_order, maximum_ripple, minimum_attenuation, critical_frequency, 'low', analog=True)\n",
    "\n",
    "w_ellip, h_ellip = freqs(b, a)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Use the `matplotlib` routines to display the results for each filter type"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x18fb21f70d0>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "\n",
    "from numpy import log10\n",
    "\n",
    "\n",
    "# Set the figure size\n",
    "\n",
    "plt.rcParams[\"figure.figsize\"] = (15, 10)\n",
    "\n",
    "\n",
    "# Create the line plot\n",
    "\n",
    "plt.semilogx(w_butter, 20 * log10(abs(h_butter)), label='Butterworth')\n",
    "\n",
    "plt.semilogx(w_cheby, 20 * log10(abs(h_cheby)), '--', label='Chebyshev')\n",
    "\n",
    "plt.semilogx(w_bessel, 20 * log10(abs(h_bessel)), '-.', label='Bessel')\n",
    "\n",
    "plt.semilogx(w_ellip, 20 * log10(abs(h_ellip)), '-', label='Elliptic')\n",
    "\n",
    "\n",
    "# Set the y axis limit\n",
    "\n",
    "plt.ylim(-80, 5)\n",
    "\n",
    "\n",
    "# Set the x and y axis labels\n",
    "\n",
    "plt.xlabel(\"Frequency (Hz)\", size=12)\n",
    "\n",
    "plt.ylabel(\"Amplitude (dB)\", size=12)\n",
    "\n",
    "\n",
    "# Turn on the grid\n",
    "\n",
    "plt.grid(linestyle=':', linewidth=0.5)\n",
    "\n",
    "\n",
    "# Set the plot title and labels\n",
    "\n",
    "plt.title('Filter Response', size=14)\n",
    "\n",
    "\n",
    "# Set the tick label size\n",
    "\n",
    "plt.tick_params(labelsize=12)\n",
    "\n",
    "\n",
    "# Show the legend\n",
    "\n",
    "plt.legend(loc='upper right', prop={'size': 10})"
   ]
  }
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